Q. 104.1( 26 Votes )

# The height of mer

Answer :

Given: h = 75 cm = 0.75 m

Specific gravity of mercury = 136

Density of water = 10^{3} kg/m^{3}

g = 9.8 m/s^{2}

Specific gravity is defined as the ratio of density of a substance w.r.t density of any other substance. Primarily the specific gravity is measured w.r.t water

Density of mercury = 136 × 10^{3} kg/m^{3} = 136 × 10^{3} kg/m^{3} = ρ

Pressure exerted by a liquid is given by the relation

P = hρg

= 0.75 × 136 × 10^{3} × 9.8

= 999600 Pa

= 10 × 10^{5} N/m^{2} (approx.)

For CGS unit

CGS unit of Force ⇒ dyne

1 dyne = 10^{-5} N ⇒ 1 N = 10^{5} dyne

1 m = 100 cm

10 × 10^{5} N/m^{2} = 10 × 10^{5} × 10^{5} dyne / (100 cm)^{2}

= 10 × 10^{6} dyne /cm^{2} (CGS)

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